curl --request POST \
  --url https://api.fincept.in/quantlib/physics/entropy/tsallis \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "probabilities": [
    0.7,
    0.15,
    0.1,
    0.05
  ],
  "q": 1.5
}
'

{
  "success": true,
  "data": {
    "tsallis_entropy": 0.7845,
    "q": 1.5
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

quantlib-physics

Calculate Tsallis Entropy

Calculates the Tsallis entropy, a non-extensive generalization of Shannon entropy parameterized by q. Particularly useful for systems with long-range correlations, power-law distributions, and non-equilibrium states common in financial markets. q=1 recovers Shannon entropy.

Use Cases:

Analyze fat-tailed return distributions
Model markets with long-range correlations
Study non-equilibrium market dynamics
Measure complexity in fractal market structures
Assess systemic risk in interconnected systems

Formula: S_q(X) = (1 - Σ p(x)^q) / (q - 1)

Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]

POST

quantlib

physics

entropy

tsallis

curl --request POST \
  --url https://api.fincept.in/quantlib/physics/entropy/tsallis \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "probabilities": [
    0.7,
    0.15,
    0.1,
    0.05
  ],
  "q": 1.5
}
'

{
  "success": true,
  "data": {
    "tsallis_entropy": 0.7845,
    "q": 1.5
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

probabilities

number[]

required

Discrete probability distribution (must sum to 1)

Example:

[0.5, 0.3, 0.15, 0.05]

number

required

Tsallis parameter (q<1: super-extensive, q=1: Shannon entropy, q>1: sub-extensive)

Example:

1.5

Response

Tsallis entropy calculated successfully

success

boolean

Example:

true

data

object

Show child attributes

Free Tier (0 credits)

Basic Tier (1 credit)

Standard Tier (2 credits)

Pro Tier (5 credits)

Enterprise Tier (10 credits)

Calculate Tsallis Entropy

Authorizations

Body

Response